Create Vs, using the intersection between the line at 0, 90, 180, and 270 degrees and the big circle as your vertices. The intersections created by the 45, 135, 225, and 315 degree lines and the smaller circle will be the endpoints.

Draw more Vs, this time using the intersections created by the 45, 135, 225, and 315 degree lines and the big circle as vertices. Use the intersections made by your first Vs and the lines with degrees including .5 as the endpoints.